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We are given that a metal rod is **\(\frac{4}{5}\)** meters long and is to be cut into pieces that are **\(\frac{1}{20}\)** meters long. We need to determine how many pieces can be made from the rod.

### Solution:
To find out how many pieces can be cut, divide the total length of the rod by the length of each piece:

\[
\text{Number of pieces} = \frac{\frac{4}{5}}{\frac{1}{20}}
\]

When dividing fractions, you multiply by the reciprocal of the divisor:

\[
\text{Number of pieces} = \frac{4}{5} \times \frac{20}{1} = \frac{4 \times 20}{5 \times 1} = \frac{80}{5} = 16
\]

### Answer:
The rod can be cut into **16 pieces**.

Would you like any further clarification on this, or more details on the steps?

Here are 5 related questions to further your understanding:
1. If the rod was \(\frac{3}{4}\) meters long, how many pieces of \(\frac{1}{10}\) meters could be made?
2. What is the process for dividing one fraction by another?
3. If each piece was \(\frac{1}{25}\) meters long, how many pieces would you get from a \(\frac{5}{6}\) meter rod?
4. How do you simplify complex fractions like \(\frac{\frac{a}{b}}{\frac{c}{d}}\)?
5. Can the length of a rod be expressed as a mixed number? If so, how would it affect the calculation?

**Tip:** When dividing fractions, remember that "dividing by a fraction" is the same as "multiplying by its reciprocal."

A metal rod will be cut into pieces that are each 1/20 meters long. The rod is 4/5 meters long. How many pieces will be made from the rod?

Learn how to divide a rod that is 4/5 meters long into pieces of 1/20 meters. This problem explores division and multiplication of fractions, showing how to calculate the number of pieces. Suitable for students in Grades 6-8.

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